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ERIC Number: EJ936612
Record Type: Journal
Publication Date: 2011
Pages: 9
Abstractor: ERIC
Reference Count: 15
ISBN: N/A
ISSN: ISSN-0819-4564
Generating "Random" Integers
Griffiths, Martin
Australian Senior Mathematics Journal, v25 n1 p23-31 2011
One of the author's undergraduate students recently asked him whether it was possible to generate a random positive integer. After some thought, the author realised that there were plenty of interesting mathematical ideas inherent in her question. So much so in fact, that the author decided to organise a workshop, open both to undergraduates and postgraduates, in order to explore some of these ideas. This article discusses and distils the mathematics that came out of just this one short session, and highlights some of the educational benefits to be gained from running such workshops. It presents material aimed at undergraduates and bright students in Years 11 and 12. Readers will encounter aspects of probability, random variables, analysis, special functions, Fourier series and more. The author also considers the teaching and learning that took place in this workshop within the context of the "Australian Senior Secondary Mathematics Curriculum," a draft consultation version of which appeared on the website (ACARA, 2010). It was proposed that this curriculum should comprise four courses: (1) Essential Mathematics; (2) General Mathematics; (3) Mathematical Methods; and (4) Specialist Mathematics. Each of these course focuses on a pathway meeting the educational needs of some particular group of students.
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: United Kingdom